Systems of equations

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What is a system of equations?

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A set of two or more equations with the same variables.

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What does it mean to solve a system of equations?

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Finding the values of the variables that satisfy all equations in the system.

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What is the graphical representation of a system of equations?

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The intersection points of the lines representing the equations.

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What is the solution of a system of equations?

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The point(s) where the graphs of the equations intersect.

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What is slope-intercept form?

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What is the substitution method?

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A method for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.

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What is the elimination method?

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A method for solving systems of equations by adding or subtracting equations to eliminate one variable.

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What does it mean if a system of equations has no solution?

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The lines representing the equations are parallel and never intersect.

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What does it mean if a system of equations has infinitely many solutions?

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The equations represent the same line, so every point on the line is a solution.

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How do you find the slope of a line given two points?

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